@font-face {
  font-family: KaTeX_AMS;
  src: url(fonts/KaTeX_AMS-Regular.eot);
  src: url(fonts/KaTeX_AMS-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_AMS-Regular.woff2) format('woff2'), url(fonts/KaTeX_AMS-Regular.woff) format('woff'), url(fonts/KaTeX_AMS-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Caligraphic;
  src: url(fonts/KaTeX_Caligraphic-Bold.eot);
  src: url(fonts/KaTeX_Caligraphic-Bold.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Caligraphic-Bold.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Bold.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Bold.ttf) format('ttf');
  font-weight: 700;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Caligraphic;
  src: url(fonts/KaTeX_Caligraphic-Regular.eot);
  src: url(fonts/KaTeX_Caligraphic-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Caligraphic-Regular.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Regular.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Fraktur;
  src: url(fonts/KaTeX_Fraktur-Bold.eot);
  src: url(fonts/KaTeX_Fraktur-Bold.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Fraktur-Bold.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Bold.woff) format('woff'), url(fonts/KaTeX_Fraktur-Bold.ttf) format('ttf');
  font-weight: 700;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Fraktur;
  src: url(fonts/KaTeX_Fraktur-Regular.eot);
  src: url(fonts/KaTeX_Fraktur-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Fraktur-Regular.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Regular.woff) format('woff'), url(fonts/KaTeX_Fraktur-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Main;
  src: url(fonts/KaTeX_Main-Bold.eot);
  src: url(fonts/KaTeX_Main-Bold.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Main-Bold.woff2) format('woff2'), url(fonts/KaTeX_Main-Bold.woff) format('woff'), url(fonts/KaTeX_Main-Bold.ttf) format('ttf');
  font-weight: 700;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Main;
  src: url(fonts/KaTeX_Main-Italic.eot);
  src: url(fonts/KaTeX_Main-Italic.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Main-Italic.woff2) format('woff2'), url(fonts/KaTeX_Main-Italic.woff) format('woff'), url(fonts/KaTeX_Main-Italic.ttf) format('ttf');
  font-weight: 400;
  font-style: italic
}

@font-face {
  font-family: KaTeX_Main;
  src: url(fonts/KaTeX_Main-Regular.eot);
  src: url(fonts/KaTeX_Main-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Main-Regular.woff2) format('woff2'), url(fonts/KaTeX_Main-Regular.woff) format('woff'), url(fonts/KaTeX_Main-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Math;
  src: url(fonts/KaTeX_Math-Italic.eot);
  src: url(fonts/KaTeX_Math-Italic.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Math-Italic.woff2) format('woff2'), url(fonts/KaTeX_Math-Italic.woff) format('woff'), url(fonts/KaTeX_Math-Italic.ttf) format('ttf');
  font-weight: 400;
  font-style: italic
}

@font-face {
  font-family: KaTeX_SansSerif;
  src: url(fonts/KaTeX_SansSerif-Regular.eot);
  src: url(fonts/KaTeX_SansSerif-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_SansSerif-Regular.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Regular.woff) format('woff'), url(fonts/KaTeX_SansSerif-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Script;
  src: url(fonts/KaTeX_Script-Regular.eot);
  src: url(fonts/KaTeX_Script-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Script-Regular.woff2) format('woff2'), url(fonts/KaTeX_Script-Regular.woff) format('woff'), url(fonts/KaTeX_Script-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Size1;
  src: url(fonts/KaTeX_Size1-Regular.eot);
  src: url(fonts/KaTeX_Size1-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Size1-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size1-Regular.woff) format('woff'), url(fonts/KaTeX_Size1-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Size2;
  src: url(fonts/KaTeX_Size2-Regular.eot);
  src: url(fonts/KaTeX_Size2-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Size2-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size2-Regular.woff) format('woff'), url(fonts/KaTeX_Size2-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Size3;
  src: url(fonts/KaTeX_Size3-Regular.eot);
  src: url(fonts/KaTeX_Size3-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Size3-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size3-Regular.woff) format('woff'), url(fonts/KaTeX_Size3-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Size4;
  src: url(fonts/KaTeX_Size4-Regular.eot);
  src: url(fonts/KaTeX_Size4-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Size4-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size4-Regular.woff) format('woff'), url(fonts/KaTeX_Size4-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

@font-face {
  font-family: KaTeX_Typewriter;
  src: url(fonts/KaTeX_Typewriter-Regular.eot);
  src: url(fonts/KaTeX_Typewriter-Regular.eot#iefix) format('embedded-opentype'), url(fonts/KaTeX_Typewriter-Regular.woff2) format('woff2'), url(fonts/KaTeX_Typewriter-Regular.woff) format('woff'), url(fonts/KaTeX_Typewriter-Regular.ttf) format('ttf');
  font-weight: 400;
  font-style: normal
}

.katex-display {
  display: block;
  margin: 1em 0;
  text-align: center
}

.katex-display > .katex {
  display: inline-block
}

.katex {
  font: 400 1.21em KaTeX_Main;
  line-height: 1.2;
  white-space: nowrap;
  text-indent: 0
}

.katex .katex-html {
  display: inline-block
}

.katex .katex-mathml {
  position: absolute;
  clip: rect(1px, 1px, 1px, 1px);
  padding: 0;
  border: 0;
  height: 1px;
  width: 1px;
  overflow: hidden
}

.katex .base, .katex .strut {
  display: inline-block
}

.katex .mathit {
  font-family: KaTeX_Math;
  font-style: italic
}

.katex .mathbf {
  font-family: KaTeX_Main;
  font-weight: 700
}

.katex .amsrm, .katex .mathbb {
  font-family: KaTeX_AMS
}

.katex .mathcal {
  font-family: KaTeX_Caligraphic
}

.katex .mathfrak {
  font-family: KaTeX_Fraktur
}

.katex .mathtt {
  font-family: KaTeX_Typewriter
}

.katex .mathscr {
  font-family: KaTeX_Script
}

.katex .mathsf {
  font-family: KaTeX_SansSerif
}

.katex .mainit {
  font-family: KaTeX_Main;
  font-style: italic
}

.katex .textstyle > .mord + .mop {
  margin-left: .16667em
}

.katex .textstyle > .mord + .mbin {
  margin-left: .22222em
}

.katex .textstyle > .mord + .mrel {
  margin-left: .27778em
}

.katex .textstyle > .mop + .mop, .katex .textstyle > .mop + .mord, .katex .textstyle > .mord + .minner {
  margin-left: .16667em
}

.katex .textstyle > .mop + .mrel {
  margin-left: .27778em
}

.katex .textstyle > .mop + .minner {
  margin-left: .16667em
}

.katex .textstyle > .mbin + .minner, .katex .textstyle > .mbin + .mop, .katex .textstyle > .mbin + .mopen, .katex .textstyle > .mbin + .mord {
  margin-left: .22222em
}

.katex .textstyle > .mrel + .minner, .katex .textstyle > .mrel + .mop, .katex .textstyle > .mrel + .mopen, .katex .textstyle > .mrel + .mord {
  margin-left: .27778em
}

.katex .textstyle > .mclose + .mop {
  margin-left: .16667em
}

.katex .textstyle > .mclose + .mbin {
  margin-left: .22222em
}

.katex .textstyle > .mclose + .mrel {
  margin-left: .27778em
}

.katex .textstyle > .mclose + .minner, .katex .textstyle > .minner + .mop, .katex .textstyle > .minner + .mord, .katex .textstyle > .mpunct + .mclose, .katex .textstyle > .mpunct + .minner, .katex .textstyle > .mpunct + .mop, .katex .textstyle > .mpunct + .mopen, .katex .textstyle > .mpunct + .mord, .katex .textstyle > .mpunct + .mpunct, .katex .textstyle > .mpunct + .mrel {
  margin-left: .16667em
}

.katex .textstyle > .minner + .mbin {
  margin-left: .22222em
}

.katex .textstyle > .minner + .mrel {
  margin-left: .27778em
}

.katex .mclose + .mop, .katex .minner + .mop, .katex .mop + .mop, .katex .mop + .mord, .katex .mord + .mop, .katex .textstyle > .minner + .minner, .katex .textstyle > .minner + .mopen, .katex .textstyle > .minner + .mpunct {
  margin-left: .16667em
}

.katex .reset-textstyle.textstyle {
  font-size: 1em
}

.katex .reset-textstyle.scriptstyle {
  font-size: .7em
}

.katex .reset-textstyle.scriptscriptstyle {
  font-size: .5em
}

.katex .reset-scriptstyle.textstyle {
  font-size: 1.42857em
}

.katex .reset-scriptstyle.scriptstyle {
  font-size: 1em
}

.katex .reset-scriptstyle.scriptscriptstyle {
  font-size: .71429em
}

.katex .reset-scriptscriptstyle.textstyle {
  font-size: 2em
}

.katex .reset-scriptscriptstyle.scriptstyle {
  font-size: 1.4em
}

.katex .reset-scriptscriptstyle.scriptscriptstyle {
  font-size: 1em
}

.katex .style-wrap {
  position: relative
}

.katex .vlist {
  display: inline-block
}

.katex .vlist > span {
  display: block;
  height: 0;
  position: relative
}

.katex .vlist > span > span {
  display: inline-block
}

.katex .vlist .baseline-fix {
  display: inline-table;
  table-layout: fixed
}

.katex .msupsub {
  text-align: left
}

.katex .mfrac > span > span {
  text-align: center
}

.katex .mfrac .frac-line {
  width: 100%
}

.katex .mfrac .frac-line:before {
  border-bottom-style: solid;
  border-bottom-width: 1px;
  content: "";
  display: block
}

.katex .mfrac .frac-line:after {
  border-bottom-style: solid;
  border-bottom-width: .04em;
  content: "";
  display: block;
  margin-top: -1px
}

.katex .mspace {
  display: inline-block
}

.katex .mspace.negativethinspace {
  margin-left: -.16667em
}

.katex .mspace.thinspace {
  width: .16667em
}

.katex .mspace.mediumspace {
  width: .22222em
}

.katex .mspace.thickspace {
  width: .27778em
}

.katex .mspace.enspace {
  width: .5em
}

.katex .mspace.quad {
  width: 1em
}

.katex .mspace.qquad {
  width: 2em
}

.katex .llap, .katex .rlap {
  width: 0;
  position: relative
}

.katex .llap > .inner, .katex .rlap > .inner {
  position: absolute
}

.katex .llap > .fix, .katex .rlap > .fix {
  display: inline-block
}

.katex .llap > .inner {
  right: 0
}

.katex .rlap > .inner {
  left: 0
}

.katex .katex-logo .a {
  font-size: .75em;
  margin-left: -.32em;
  position: relative;
  top: -.2em
}

.katex .katex-logo .t {
  margin-left: -.23em
}

.katex .katex-logo .e {
  margin-left: -.1667em;
  position: relative;
  top: .2155em
}

.katex .katex-logo .x {
  margin-left: -.125em
}

.katex .rule {
  display: inline-block;
  border-style: solid;
  position: relative
}

.katex .overline .overline-line {
  width: 100%
}

.katex .overline .overline-line:before {
  border-bottom-style: solid;
  border-bottom-width: 1px;
  content: "";
  display: block
}

.katex .overline .overline-line:after {
  border-bottom-style: solid;
  border-bottom-width: .04em;
  content: "";
  display: block;
  margin-top: -1px
}

.katex .sqrt > .sqrt-sign {
  position: relative
}

.katex .sqrt .sqrt-line {
  width: 100%
}

.katex .sqrt .sqrt-line:before {
  border-bottom-style: solid;
  border-bottom-width: 1px;
  content: "";
  display: block
}

.katex .sqrt .sqrt-line:after {
  border-bottom-style: solid;
  border-bottom-width: .04em;
  content: "";
  display: block;
  margin-top: -1px
}

.katex .sqrt > .root {
  margin-left: .27777778em;
  margin-right: -.55555556em
}

.katex .fontsize-ensurer, .katex .sizing {
  display: inline-block
}

.katex .fontsize-ensurer.reset-size1.size1, .katex .sizing.reset-size1.size1 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size1.size2, .katex .sizing.reset-size1.size2 {
  font-size: 1.4em
}

.katex .fontsize-ensurer.reset-size1.size3, .katex .sizing.reset-size1.size3 {
  font-size: 1.6em
}

.katex .fontsize-ensurer.reset-size1.size4, .katex .sizing.reset-size1.size4 {
  font-size: 1.8em
}

.katex .fontsize-ensurer.reset-size1.size5, .katex .sizing.reset-size1.size5 {
  font-size: 2em
}

.katex .fontsize-ensurer.reset-size1.size6, .katex .sizing.reset-size1.size6 {
  font-size: 2.4em
}

.katex .fontsize-ensurer.reset-size1.size7, .katex .sizing.reset-size1.size7 {
  font-size: 2.88em
}

.katex .fontsize-ensurer.reset-size1.size8, .katex .sizing.reset-size1.size8 {
  font-size: 3.46em
}

.katex .fontsize-ensurer.reset-size1.size9, .katex .sizing.reset-size1.size9 {
  font-size: 4.14em
}

.katex .fontsize-ensurer.reset-size1.size10, .katex .sizing.reset-size1.size10 {
  font-size: 4.98em
}

.katex .fontsize-ensurer.reset-size2.size1, .katex .sizing.reset-size2.size1 {
  font-size: .71428571em
}

.katex .fontsize-ensurer.reset-size2.size2, .katex .sizing.reset-size2.size2 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size2.size3, .katex .sizing.reset-size2.size3 {
  font-size: 1.14285714em
}

.katex .fontsize-ensurer.reset-size2.size4, .katex .sizing.reset-size2.size4 {
  font-size: 1.28571429em
}

.katex .fontsize-ensurer.reset-size2.size5, .katex .sizing.reset-size2.size5 {
  font-size: 1.42857143em
}

.katex .fontsize-ensurer.reset-size2.size6, .katex .sizing.reset-size2.size6 {
  font-size: 1.71428571em
}

.katex .fontsize-ensurer.reset-size2.size7, .katex .sizing.reset-size2.size7 {
  font-size: 2.05714286em
}

.katex .fontsize-ensurer.reset-size2.size8, .katex .sizing.reset-size2.size8 {
  font-size: 2.47142857em
}

.katex .fontsize-ensurer.reset-size2.size9, .katex .sizing.reset-size2.size9 {
  font-size: 2.95714286em
}

.katex .fontsize-ensurer.reset-size2.size10, .katex .sizing.reset-size2.size10 {
  font-size: 3.55714286em
}

.katex .fontsize-ensurer.reset-size3.size1, .katex .sizing.reset-size3.size1 {
  font-size: .625em
}

.katex .fontsize-ensurer.reset-size3.size2, .katex .sizing.reset-size3.size2 {
  font-size: .875em
}

.katex .fontsize-ensurer.reset-size3.size3, .katex .sizing.reset-size3.size3 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size3.size4, .katex .sizing.reset-size3.size4 {
  font-size: 1.125em
}

.katex .fontsize-ensurer.reset-size3.size5, .katex .sizing.reset-size3.size5 {
  font-size: 1.25em
}

.katex .fontsize-ensurer.reset-size3.size6, .katex .sizing.reset-size3.size6 {
  font-size: 1.5em
}

.katex .fontsize-ensurer.reset-size3.size7, .katex .sizing.reset-size3.size7 {
  font-size: 1.8em
}

.katex .fontsize-ensurer.reset-size3.size8, .katex .sizing.reset-size3.size8 {
  font-size: 2.1625em
}

.katex .fontsize-ensurer.reset-size3.size9, .katex .sizing.reset-size3.size9 {
  font-size: 2.5875em
}

.katex .fontsize-ensurer.reset-size3.size10, .katex .sizing.reset-size3.size10 {
  font-size: 3.1125em
}

.katex .fontsize-ensurer.reset-size4.size1, .katex .sizing.reset-size4.size1 {
  font-size: .55555556em
}

.katex .fontsize-ensurer.reset-size4.size2, .katex .sizing.reset-size4.size2 {
  font-size: .77777778em
}

.katex .fontsize-ensurer.reset-size4.size3, .katex .sizing.reset-size4.size3 {
  font-size: .88888889em
}

.katex .fontsize-ensurer.reset-size4.size4, .katex .sizing.reset-size4.size4 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size4.size5, .katex .sizing.reset-size4.size5 {
  font-size: 1.11111111em
}

.katex .fontsize-ensurer.reset-size4.size6, .katex .sizing.reset-size4.size6 {
  font-size: 1.33333333em
}

.katex .fontsize-ensurer.reset-size4.size7, .katex .sizing.reset-size4.size7 {
  font-size: 1.6em
}

.katex .fontsize-ensurer.reset-size4.size8, .katex .sizing.reset-size4.size8 {
  font-size: 1.92222222em
}

.katex .fontsize-ensurer.reset-size4.size9, .katex .sizing.reset-size4.size9 {
  font-size: 2.3em
}

.katex .fontsize-ensurer.reset-size4.size10, .katex .sizing.reset-size4.size10 {
  font-size: 2.76666667em
}

.katex .fontsize-ensurer.reset-size5.size1, .katex .sizing.reset-size5.size1 {
  font-size: .5em
}

.katex .fontsize-ensurer.reset-size5.size2, .katex .sizing.reset-size5.size2 {
  font-size: .7em
}

.katex .fontsize-ensurer.reset-size5.size3, .katex .sizing.reset-size5.size3 {
  font-size: .8em
}

.katex .fontsize-ensurer.reset-size5.size4, .katex .sizing.reset-size5.size4 {
  font-size: .9em
}

.katex .fontsize-ensurer.reset-size5.size5, .katex .sizing.reset-size5.size5 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size5.size6, .katex .sizing.reset-size5.size6 {
  font-size: 1.2em
}

.katex .fontsize-ensurer.reset-size5.size7, .katex .sizing.reset-size5.size7 {
  font-size: 1.44em
}

.katex .fontsize-ensurer.reset-size5.size8, .katex .sizing.reset-size5.size8 {
  font-size: 1.73em
}

.katex .fontsize-ensurer.reset-size5.size9, .katex .sizing.reset-size5.size9 {
  font-size: 2.07em
}

.katex .fontsize-ensurer.reset-size5.size10, .katex .sizing.reset-size5.size10 {
  font-size: 2.49em
}

.katex .fontsize-ensurer.reset-size6.size1, .katex .sizing.reset-size6.size1 {
  font-size: .41666667em
}

.katex .fontsize-ensurer.reset-size6.size2, .katex .sizing.reset-size6.size2 {
  font-size: .58333333em
}

.katex .fontsize-ensurer.reset-size6.size3, .katex .sizing.reset-size6.size3 {
  font-size: .66666667em
}

.katex .fontsize-ensurer.reset-size6.size4, .katex .sizing.reset-size6.size4 {
  font-size: .75em
}

.katex .fontsize-ensurer.reset-size6.size5, .katex .sizing.reset-size6.size5 {
  font-size: .83333333em
}

.katex .fontsize-ensurer.reset-size6.size6, .katex .sizing.reset-size6.size6 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size6.size7, .katex .sizing.reset-size6.size7 {
  font-size: 1.2em
}

.katex .fontsize-ensurer.reset-size6.size8, .katex .sizing.reset-size6.size8 {
  font-size: 1.44166667em
}

.katex .fontsize-ensurer.reset-size6.size9, .katex .sizing.reset-size6.size9 {
  font-size: 1.725em
}

.katex .fontsize-ensurer.reset-size6.size10, .katex .sizing.reset-size6.size10 {
  font-size: 2.075em
}

.katex .fontsize-ensurer.reset-size7.size1, .katex .sizing.reset-size7.size1 {
  font-size: .34722222em
}

.katex .fontsize-ensurer.reset-size7.size2, .katex .sizing.reset-size7.size2 {
  font-size: .48611111em
}

.katex .fontsize-ensurer.reset-size7.size3, .katex .sizing.reset-size7.size3 {
  font-size: .55555556em
}

.katex .fontsize-ensurer.reset-size7.size4, .katex .sizing.reset-size7.size4 {
  font-size: .625em
}

.katex .fontsize-ensurer.reset-size7.size5, .katex .sizing.reset-size7.size5 {
  font-size: .69444444em
}

.katex .fontsize-ensurer.reset-size7.size6, .katex .sizing.reset-size7.size6 {
  font-size: .83333333em
}

.katex .fontsize-ensurer.reset-size7.size7, .katex .sizing.reset-size7.size7 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size7.size8, .katex .sizing.reset-size7.size8 {
  font-size: 1.20138889em
}

.katex .fontsize-ensurer.reset-size7.size9, .katex .sizing.reset-size7.size9 {
  font-size: 1.4375em
}

.katex .fontsize-ensurer.reset-size7.size10, .katex .sizing.reset-size7.size10 {
  font-size: 1.72916667em
}

.katex .fontsize-ensurer.reset-size8.size1, .katex .sizing.reset-size8.size1 {
  font-size: .28901734em
}

.katex .fontsize-ensurer.reset-size8.size2, .katex .sizing.reset-size8.size2 {
  font-size: .40462428em
}

.katex .fontsize-ensurer.reset-size8.size3, .katex .sizing.reset-size8.size3 {
  font-size: .46242775em
}

.katex .fontsize-ensurer.reset-size8.size4, .katex .sizing.reset-size8.size4 {
  font-size: .52023121em
}

.katex .fontsize-ensurer.reset-size8.size5, .katex .sizing.reset-size8.size5 {
  font-size: .57803468em
}

.katex .fontsize-ensurer.reset-size8.size6, .katex .sizing.reset-size8.size6 {
  font-size: .69364162em
}

.katex .fontsize-ensurer.reset-size8.size7, .katex .sizing.reset-size8.size7 {
  font-size: .83236994em
}

.katex .fontsize-ensurer.reset-size8.size8, .katex .sizing.reset-size8.size8 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size8.size9, .katex .sizing.reset-size8.size9 {
  font-size: 1.19653179em
}

.katex .fontsize-ensurer.reset-size8.size10, .katex .sizing.reset-size8.size10 {
  font-size: 1.43930636em
}

.katex .fontsize-ensurer.reset-size9.size1, .katex .sizing.reset-size9.size1 {
  font-size: .24154589em
}

.katex .fontsize-ensurer.reset-size9.size2, .katex .sizing.reset-size9.size2 {
  font-size: .33816425em
}

.katex .fontsize-ensurer.reset-size9.size3, .katex .sizing.reset-size9.size3 {
  font-size: .38647343em
}

.katex .fontsize-ensurer.reset-size9.size4, .katex .sizing.reset-size9.size4 {
  font-size: .43478261em
}

.katex .fontsize-ensurer.reset-size9.size5, .katex .sizing.reset-size9.size5 {
  font-size: .48309179em
}

.katex .fontsize-ensurer.reset-size9.size6, .katex .sizing.reset-size9.size6 {
  font-size: .57971014em
}

.katex .fontsize-ensurer.reset-size9.size7, .katex .sizing.reset-size9.size7 {
  font-size: .69565217em
}

.katex .fontsize-ensurer.reset-size9.size8, .katex .sizing.reset-size9.size8 {
  font-size: .83574879em
}

.katex .fontsize-ensurer.reset-size9.size9, .katex .sizing.reset-size9.size9 {
  font-size: 1em
}

.katex .fontsize-ensurer.reset-size9.size10, .katex .sizing.reset-size9.size10 {
  font-size: 1.20289855em
}

.katex .fontsize-ensurer.reset-size10.size1, .katex .sizing.reset-size10.size1 {
  font-size: .20080321em
}

.katex .fontsize-ensurer.reset-size10.size2, .katex .sizing.reset-size10.size2 {
  font-size: .2811245em
}

.katex .fontsize-ensurer.reset-size10.size3, .katex .sizing.reset-size10.size3 {
  font-size: .32128514em
}

.katex .fontsize-ensurer.reset-size10.size4, .katex .sizing.reset-size10.size4 {
  font-size: .36144578em
}

.katex .fontsize-ensurer.reset-size10.size5, .katex .sizing.reset-size10.size5 {
  font-size: .40160643em
}

.katex .fontsize-ensurer.reset-size10.size6, .katex .sizing.reset-size10.size6 {
  font-size: .48192771em
}

.katex .fontsize-ensurer.reset-size10.size7, .katex .sizing.reset-size10.size7 {
  font-size: .57831325em
}

.katex .fontsize-ensurer.reset-size10.size8, .katex .sizing.reset-size10.size8 {
  font-size: .69477912em
}

.katex .fontsize-ensurer.reset-size10.size9, .katex .sizing.reset-size10.size9 {
  font-size: .8313253em
}

.katex .fontsize-ensurer.reset-size10.size10, .katex .sizing.reset-size10.size10 {
  font-size: 1em
}

.katex .delimsizing.size1 {
  font-family: KaTeX_Size1
}

.katex .delimsizing.size2 {
  font-family: KaTeX_Size2
}

.katex .delimsizing.size3 {
  font-family: KaTeX_Size3
}

.katex .delimsizing.size4 {
  font-family: KaTeX_Size4
}

.katex .delimsizing.mult .delim-size1 > span {
  font-family: KaTeX_Size1
}

.katex .delimsizing.mult .delim-size4 > span {
  font-family: KaTeX_Size4
}

.katex .nulldelimiter {
  display: inline-block;
  width: .12em
}

.katex .op-symbol {
  position: relative
}

.katex .op-symbol.small-op {
  font-family: KaTeX_Size1
}

.katex .op-symbol.large-op {
  font-family: KaTeX_Size2
}

.katex .accent > .vlist > span, .katex .op-limits > .vlist > span {
  text-align: center
}

.katex .accent .accent-body > span {
  width: 0
}

.katex .accent .accent-body.accent-vec > span {
  position: relative;
  left: .326em
}

.katex .mtable .vertical-separator {
  display: inline-block;
  margin: 0 -.025em;
  border-right: .05em solid #000
}

.katex .mtable .arraycolsep {
  display: inline-block
}

.katex .mtable .col-align-c > .vlist {
  text-align: center
}

.katex .mtable .col-align-l > .vlist {
  text-align: left
}

.katex .mtable .col-align-r > .vlist {
  text-align: right
}
